Spectral Problems for Quasinormal Modes of Black Holes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912104903081984 |
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| author | Hatsuda, Yasuyuki Kimura, Masashi |
| author_facet | Hatsuda, Yasuyuki Kimura, Masashi |
| contents | This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes analytical/numerical treatments, semiclassical perturbation theory, the (uniform) WKB method and useful mathematical tools: Borel summations, Padé approximants, etc. The article is not comprehensive, but rather looks into a few examples from various points of view. The techniques in this article are widely applicable to many other examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_15197 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Spectral Problems for Quasinormal Modes of Black Holes Hatsuda, Yasuyuki Kimura, Masashi General Relativity and Quantum Cosmology High Energy Physics - Theory This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes analytical/numerical treatments, semiclassical perturbation theory, the (uniform) WKB method and useful mathematical tools: Borel summations, Padé approximants, etc. The article is not comprehensive, but rather looks into a few examples from various points of view. The techniques in this article are widely applicable to many other examples. |
| title | Spectral Problems for Quasinormal Modes of Black Holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2111.15197 |